Chapter 7 Exponential and Logarithmic Functions - 7.2 Graph Exponential Decay Functions - 7.2 Exercises - Mixed Review - Page 491: 49

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Demonstrate $f(g(x))$ is true. Obtain $f(g(x))=f(\sqrt[5] 12x-7)=\frac{(\sqrt[5] 12x-7)^5+7}{12}=\frac{12x-7+7}{12}=\frac{12x}{12}=x$ Since $f(g(x))=x$, the two functions have been verified to be inverse functions.